What is the solution for (dy)/(dx)=y+y/(xln(x)) ?

The solution for (dy)/(dx)=y+y/(xln(x)) is y=e^{x+c_{1}}ln(x)

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(dy)/(dx)=y+y/(xln(x))

\frac{d y}{d x} = y + \frac{y}{x ln ( x )}

y = e^{x + c_{1}} ln (x)

Solution steps

\frac{d y}{d x} = y + \frac{y}{x ln ( x )}

Solve separable ODE:

y = e^{x + c_{1}} ln (x)

y = e^{x + c_{1}} ln (x)

\frac{d y}{d t} + 20 y = 24, y = \frac{6}{5} - \frac{6}{5} e^{- 20 t}

d y = 1 - 4 y^{2} d x

y^{^{'}} = cos (x) tan (y)

\frac{d y}{d t} = \frac{t e ^{t}}{y 1 + y ^{2}}

y e^{y} d y + x d x = 0

What is the solution for (dy)/(dx)=y+y/(xln(x)) ?
The solution for (dy)/(dx)=y+y/(xln(x)) is y=e^{x+c_{1}}ln(x)